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Finding the Fourth Proportional to 21,834.89, 32,724.93 and 9,340.22

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Solution

The fourth proportional to 21,834.89, 32,724.93 and 9,340.22 is: 13,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.89 : 32,724.93 = 9,340.22 : x
  2. Step 2: Convert to fraction form
    21,834.89/32,724.93 = 9,340.22/x
  3. Step 3: Cross multiply
    21,834.89x = 32,724.93 × 9,340.22
  4. Step 4: Simplify right side
    21,834.89x = 305,658,127.50
  5. Step 5: Solve for x
    x = 305,658,127.50/21,834.89
  6. Step 6: Final answer
    x = 13,998.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.